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Finding the Third Proportional to 505,065.50 and 1,090,251

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Solution

The third proportional to 505,065.50 and 1,090,251 is: 2,353,451.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,065.50 : 1,090,251 = 1,090,251 : x
  2. Step 2: Convert to fraction form
    505,065.50/1,090,251 = 1,090,251/x
  3. Step 3: Cross multiply
    505,065.50x = 1,090,251 × 1,090,251
  4. Step 4: Simplify right side
    505,065.50x = 1,188,647,243,001
  5. Step 5: Solve for x
    x = 1,188,647,243,001/505,065.50
  6. Step 6: Final answer
    x = 2,353,451.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.